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Abstract |
Black holes in the Universe do not exist in isolation but, rather, they are
surrounded by matter. It is therefore important to study the stability properties
of black holes under matter field perturbations. In this talk we will discuss the
stability properties under classical field perturbations of several rotating
(Kerr) black hole spacetimes. In particular, we will present recent results on
some of the mode stability properties of the following: (i) a maximally-rotating
(extremal) Kerr black hole, whose event horizon suffers from the so-called
Aretakis instability; (ii) Kerr-de Sitter spacetime, representing a Kerr black
hole in a Universe with accelerated expansion, and so possessing a cosmological
horizon as well as an event horizon; and (iii) the inner (Cauchy) horizon of Kerr-
Newman-de Sitter spacetime, representing a charged Kerr-de Sitter black hole,
where we find evidence for violation of Penrose’s strong Cosmic Censorship
conjecture. |
